Michal Feckan

Articles in Scholarly Journals [Incomplete List]

  1. Homoclinic Trajectories in Discontinuous Systems
    Journal of Dynamics and Differential Equations, vol. 20, no. 2, pp. 337–376, 2007
  2. Weakly coupled oscillators and topological degree
    Bulletin des Sciences Mathématiques, vol. 131, no. 6, pp. 559–571, 2007
  3. Transverse bounded solutions to saddle–centers in periodically perturbed ordinary differential equations
    Nonlinear Analysis: Theory, Methods & Applications, vol. 67, no. 1, pp. 249–269, 2007
  4. Travelling waves in Hamiltonian systems on 2D lattices with nearest neighbour interactions
    Nonlinearity, vol. 20, no. 2, pp. 319–341, 2007
  5. Note on arithmetic convolution equations
    Proceedings of the American Mathematical Society, vol. 136, no. 02, pp. 453–460, 2007
  6. Bifurcation conditions for a solution of an abstract wave equation
    Differential Equations, vol. 43, no. 4, pp. 495–502, 2007
  7. Bifurcations of planar sliding homoclinics
    Mathematical Problems in Engineering, vol. 2006, Article ID 85349, 13 pages, 2006
  8. Forced symmetric oscillations of evolution equations
    Nonlinear Analysis, vol. 64, no. 7, pp. 1621–1640, 2006
  9. Chaos in the beam equation
    Journal of Differential Equations, vol. 209, no. 1, pp. 172–227, 2005
  10. On continuous approximation of discontinuous systems?
    Nonlinear Analysis, vol. 62, no. 7, pp. 1317–1331, 2005
  11. International Journal of Bifurcation and Chaos [in Applied Sciences and Engineering], vol. 15, no. 6, p. 1919, 2005
  12. Proceedings of the American Mathematical Society, vol. 130, no. 11, pp. 3369–3378, 2002
  13. Transversal Bounded Solutions for Difference Equations
    The Journal of Difference Equations and Applications, vol. 8, no. 1, pp. 33–51, 2002
  14. Transversal homoclinic orbits for higher dimensional difference equations
    Journal of Difference Equations and Applications, vol. 7, no. 2, pp. 215–230, 2001
  15. Proceedings of the American Mathematical Society, vol. 129, no. 11, pp. 3395–3400, 2001
  16. Criteria on the Nonexistence of Invariant Lipschitz Submanifolds for Dynamical Systems
    Journal of Differential Equations, vol. 174, no. 2, pp. 392–419, 2001
  17. Transversal Bounded Solutions in Systems with Normal and Slow Variables
    Journal of Differential Equations, vol. 165, no. 1, pp. 123–142, 2000
  18. Bifurcation from Homoclinic to Periodic Solutions in Singular Ordinary Differential Equations
    Journal of Mathematical Analysis and Applications, vol. 246, no. 1, pp. 245–264, 2000
  19. A Galerkin-averaging method for weakly nonlinear equations
    Nonlinear Analysis, vol. 41, no. 3-4, pp. 345–369, 2000
  20. Homoclinic-Hopf interaction: an autoparametric bifurcation
    Proceedings of the Royal Society of Edinburgh: Section A Mathematics, vol. 130, no. 05, p. 999, 2000
  21. Acta Mathematica Hungarica, vol. 86, no. 4, pp. 291–303, 2000
  22. Applications of Mathematics, vol. 44, no. 1, pp. 15–32, 1999
  23. Transactions of the American Mathematical Society, vol. 351, no. 07, pp. 2861–2874, 1999
  24. Bifurcation of Periodics and Subharmonics in Abstract Nonlinear Undamped Wave Equations
    Journal of Differential Equations, vol. 153, no. 1, pp. 41–60, 1999
  25. Free Vibrations of Beams on Bearings with Nonlinear Elastic Responses
    Journal of Differential Equations, vol. 154, no. 1, pp. 55–72, 1999
  26. Journal of Dynamics and Differential Equations, vol. 10, no. 4, pp. 605–617, 1998
  27. Applications of Mathematics, vol. 42, no. 5, pp. 369–393, 1997
  28. Chaos in singular impulsive O.D.E.
    Nonlinear Analysis, vol. 28, no. 4, pp. 655–671, 1997
  29. Chaos in ordinary differential equations with multivalued perturbations: Applications to dry friction problems
    Nonlinear Analysis, vol. 30, no. 3, pp. 1355–1364, 1997
  30. The G-equivariant cusp and fold in Banach spaces
    Nonlinear Analysis, vol. 26, no. 3, pp. 395–405, 1996
  31. Bifurcation from Homoclinic to Periodic Solutions in Ordinary Differential Equations with Multivalued Perturbations
    Journal of Differential Equations, vol. 130, no. 2, pp. 415–450, 1996
  32. Subharmonic Solutions in Singular Systems
    Journal of Differential Equations, vol. 132, no. 1, pp. 21–45, 1996
  33. Heteroclinic period blow-up in certain symmetric ordinary differential equations
    ZAMP Zeitschrift für angewandte Mathematik und Physik, vol. 47, no. 3, pp. 385–399, 1996
  34. Global center manifolds in singular systems
    Nonlinear Differential Equations and Applications NoDEA, vol. 3, no. 1, pp. 19–34, 1996
  35. Proceedings of the American Mathematical Society, vol. 124, no. 06, pp. 1733–1743, 1996
  36. Periodic Solutions of Certain Abstract Wave Equations
    Proceedings of the American Mathematical Society, vol. 123, no. 2, p. 465, 1995
  37. On the Continuous Dependence of Solutions of Nonlinear Equations
    Journal of Mathematical Analysis and Applications, vol. 194, no. 2, pp. 578–596, 1995
  38. On the Existence of Periodic Solutions for a Certain Type of Nonlinear Differential Equations
    Journal of Differential Equations, vol. 121, no. 1, pp. 28–41, 1995
  39. A symmetry theorem for dynamical systems
    Nonlinear Analysis, vol. 25, no. 6, pp. 591–605, 1995
  40. A symmetry theorem for ordinary differential equations
    Nonlinear Analysis, vol. 23, no. 11, pp. 1437–1452, 1994
  41. Singularly Perturbed Higher Order Boundary Value Problems
    Journal of Differential Equations, vol. 111, no. 1, pp. 79–102, 1994
  42. Multiple Periodic Solutions of Small Vector Fields on Differentiable Manifolds
    Journal of Differential Equations, vol. 113, no. 1, pp. 189–200, 1994
  43. An Inverse Function Theorem for Continuous Mappings
    Journal of Mathematical Analysis and Applications, vol. 185, no. 1, pp. 118–128, 1994
  44. Parametrized Singular Boundary Value Problems
    Journal of Mathematical Analysis and Applications, vol. 188, no. 2, pp. 417–425, 1994
  45. Parametrized Singularly Perturbed Boundary Value Problems
    Journal of Mathematical Analysis and Applications, vol. 188, no. 2, pp. 426–435, 1994
  46. Differential Equations with Nonlinear Boundary Conditions
    Proceedings of the American Mathematical Society, vol. 121, no. 1, p. 103, 1994
  47. Discretization of Second-Order Variational Systems
    Proceedings of the American Mathematical Society, vol. 117, no. 2, p. 575, 1993
  48. Nielsen Fixed Point Theory and Nonlinear Equations
    Journal of Differential Equations, vol. 106, no. 2, pp. 312–331, 1993
  49. Melnikov functions for singularly perturbed ordinary differential equations
    Nonlinear Analysis, vol. 19, no. 4, pp. 393–401, 1992
  50. Singularly perturbed ordinary differential equations
    Journal of Mathematical Analysis and Applications, vol. 170, no. 1, pp. 214–224, 1992
  51. Singular perturbed problems in ordinary differential equations
    Journal of Mathematical Analysis and Applications, vol. 163, no. 1, pp. 38–46, 1992
  52. Singularly perturbed variational problems
    Journal of Mathematical Analysis and Applications, vol. 171, no. 2, pp. 352–360, 1992
  53. A symmetry theorem for variational problems
    Nonlinear Analysis, vol. 16, no. 6, pp. 499–506, 1991
  54. A new method for the existence of solutions of nonlinear differential equations
    Journal of Differential Equations, vol. 89, no. 2, pp. 203–223, 1991
  55. Asymptotic Behavior of Stable Manifolds
    Proceedings of the American Mathematical Society, vol. 111, no. 2, p. 585, 1991
  56. Discretization in the Method of Averaging
    Proceedings of the American Mathematical Society, vol. 113, no. 4, p. 1105, 1991